Year 8 - Maths
Solving linear equations where brackets are used
Solving linear equations
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will learn how to find a value that satisfies a linear relationship when one value is known both with a single step operation, and multiple step operations. A variety of cases are explored including using brackets and rearranging.
Lesson Summary
You will learn to recognise that there is more than one way to remove a bracket when solving an equation.
Key Notes
- It is possible to divide by the coefficient of the bracket first when solving an equation.
- When there are common factors this may be the most efficient method.
- When the coefficient is a fraction it may be helpful to rewrite the equation.
- It is possible to expand the bracket before solving an equation.
- You will need to be able to make decisions about the most efficient method to a solution.
Vocabulary To Learn
- Equation: An equation is used to show two expressions that are equal to each other.
Common Mistakes To Avoid
- That all brackets have to be expanded before we solve an equation with brackets it in.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
It is possible to divide by the coefficient of the bracket first when solving an equation. When there are common factors this may be the most efficient method.
2. Use this key word in a maths sentence and explain it clearly. 'Equation'
An equation is used to show two expressions that are equal to each other. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: That all brackets have to be expanded before we solve an equation with brackets it in. Correction: How would you solve $$2y=50$$? You would divide both sides by $$2$$. So why not start with 'divide $$2$$' when solving $$2(y-7)=50$$?
More Lessons In This Unit
- Brackets in equations Study Guide
- Checking understanding of algebraic notation Study Guide
- Different types of equations Study Guide
- Equality in an equation Study Guide
- Many equations, one solution Study Guide
- Preparing to solve two step linear equations Study Guide
- Problem solving with linear equations Study Guide
- Rearranging to solve linear equations Study Guide
- Securing understanding of equality Study Guide
- Solution to an equation Study Guide
- Solving complex linear equations Study Guide
- Solving complex linear equations involving brackets Study Guide
- Solving linear equations graphically using technology Study Guide
- Solving simple linear equations with a multiplicative step Study Guide
- Solving simple linear equations with an additive step Study Guide
- Solving two step linear equations Study Guide
Browse all guides in the Year 8 Maths guide library.